A non-uniform electric field is given by the expression E = (2xyi+3yzj-4xzk) N/C. Determine the electric flux through a surface in the xz-plane, extending from x=0 to x=5m and z=0 to z=8m
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A non-uniform electric field is given by the expression E = (2xyi+3yzj-4xzk) N/C. Determine the electric flux through a surface in the xz-plane, extending from x=0 to x=5m and z=0 to z=8m
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- A particle with charge 5.0-µC is placed at the corner of a cube. The total electric flux inN · m2 /C through all sides of the cube is: A solid, nonconducting sphere of radius 4.0 cm has nonuniform volume charge distribution p that is a function of radial distance from the center of the sphere: p= Ar².for A-2C/m², what is the electric field at r=1,0 cm3 How we can solve these questionsA solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. Concentric with this sphere is a conducting spherical shell with an inner radius of 0.13 cm and an outer radius of 0.17 cm and carrying a total charge of -15 nC. Find the magnitude of the electric field at r = 0.05 cm from the center of the two spheres and shell. O 1.248x105 A N O 1.248x108 N C 6.241x106 N O 6.241æ108 NVOLTE %93 16:41 AE + 3. The volumetric charge density of an infinitely long cylinder of radius R is given by p = po.r2. po %3D is a constant and r is the distance from the cylinder axis. Calculate the electric field in the region inside the cylinder (r R).
- An infinite cylindrical conductor has an inner radius ra =57.9mm and an outer radius 70.4mm. The conductor has a linear charge density of A₁ =136. On the axis of the cylinder is an infinite line charge with linear charge density ₂ = -9€. Determine the electric field magnitude at the point r = 31.03mm (in) C OA solid conducting sphere, which has a charge Q1=38Q and radius ra= 1.3R is placed inside a very thin spherical shell of radius rp = 7.6R and charge Q2 =-10Q as shown in the figure below. Q1 ra Find the magnitude of the electric field at r=4.7. Express your answer using one decimal point in units 1 where k = of k 4πεοA solid insulating sphere of radius a=5.0 cm carries a net positive charge of Q=6.0 µC uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b=10 cm and outer radius c=15 cm and having net charge Q2= -8 µC, as shown. The electric field at a point r=12 cm from the center is: Insulator Conductor O 1.3×106 N/C O 3.8×106 N/C 5.0x106 N/C zero
- A disk of radius 0.10 m is oriented with its normal unit vector în at 30° to a uniform electric field of magnitude 2.0 × 10³ N/C. What is the electric flux through the disk? r = 0.10 m 30A surface with area 2m2 in lies in the y-z plane. What is the flux through this area created by an electric field with components: Ex=24N/C Ey=30N/C Ez=16N/C 32 Nm2/C 60 Nm2/C 48 Nm2/C 29 Nm2/C 75 Nm2/CA solid conducting sphere, which has a charge Q, =28Q and radius ra = 2.2R is placed inside a very thin spherical shell of radius rp = 6.7R and charge Q2 =14Q as shown in the figure below. Q2 ra Find the magnitude of the electric field at r=3.3. Express your answer using one decimal point in units of k where k = 4περ
- Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.Problem 3: The electric field in a certain region is given by the function E = Ak cos (kx) cos (by) i – Ab sin (kx) sin (by) where A = 18.06 N-m/C, k = 0.702 m ¹, and b = 1.29 m¹. The points in the figure use the values 1 1.5 m and u₁= 3.36 m. Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x₁, 0)? V(x₁,0) - V(0, 0) = Part (b) What is the change in potential, in volts, from point (x₁, 0) to point (x₁.y₁)? V(x1.₁) - V(x₁.0)=1 V V V (0,y₁) Part (c) What is the change in potential, in volts, from point (0, 0) to point (₁. ₁), along the path that passes through (x₁, 0)? V(x₁, y₁) - V(0, 0) = (0,0) (x₁₂V₁) (x₁,0)A nonuniform electric field is given by the expression E = (3.00x? i + 5.00y j) N/C and passes through a square surface of side length 2.00 m parallel to the xz-plane at y = 1.00 m. Using the area vector from the previous question, what is the electric flux through the surface? O Nm^2/C O 15.0 Nm^2/C O 20.0 Nm^2/C O 12.0 Nm^2/c